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Finding the Fourth Proportional to 13,814.90, 19,071.04 and 8,147.86

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Solution

The fourth proportional to 13,814.90, 19,071.04 and 8,147.86 is: 11,247.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,814.90 : 19,071.04 = 8,147.86 : x
  2. Step 2: Convert to fraction form
    13,814.90/19,071.04 = 8,147.86/x
  3. Step 3: Cross multiply
    13,814.90x = 19,071.04 × 8,147.86
  4. Step 4: Simplify right side
    13,814.90x = 155,388,163.97
  5. Step 5: Solve for x
    x = 155,388,163.97/13,814.90
  6. Step 6: Final answer
    x = 11,247.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.